Just changing the way I held the old CD case gave me a different shape.
I made this with an old CD case.
You’d have to be careful making the beading hole in this bead. It would be so easy to break off the tip.
I betting this could also be made into an egg shape.
Here is a disc shape. You could put the beading hole in the flat side, as shown here, or in the rounded side.
There are so many bead shapes you can make with polymer clay.
These are called checkerboard.